Coupled Fixed Point Theorems in Ordered Non-Archimedean Intuitionistic Fuzzy Metric Space Using k-Monotone Property


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Authors

  • Akhilesh Jain Department of Mathematics, Corporate Institute of Science and Technology, Bhopal, Madhya Pradesh, India
  • Rajesh Tokse Department of Mathematics, Corporate Institute of Science and Technology, Bhopal, Madhya Pradesh, India
  • R. S. Chandel Department of Mathematics, Government Geetanjali Girls P.G. College, Bhopal, Madhya Pradesh, India
  • Kamal Wadhwa Department of Mathematics, Government P.G. College, Pipariya, Madhya Pradesh, India

Keywords:

Non-Archimedean property, k-monotone property, mixed monotone mappings, coupled fixed point, fuzzy metric space, Intuitionistic Fuzzy metric space, Cauchy sequence, complete fuzzy metric space

Abstract

Michlelet [17] proved a theorem which assures the existence of a fixed point for fuzzy $\psi$-contractive mappings in the framework of complete non-Archimedean fuzzy metric spaces. Motivated by this, we introduce notion of k-monotone property in Intuitionistic fuzzy metric space and proved coupled fixed point theorems for the map satisfying the mixed monotone property in partially ordered complete non-Archimedean intuitionistic fuzzy metric space.

 

 

Author Biographies

Akhilesh Jain, Department of Mathematics, Corporate Institute of Science and Technology, Bhopal, Madhya Pradesh, India

 

 

Rajesh Tokse, Department of Mathematics, Corporate Institute of Science and Technology, Bhopal, Madhya Pradesh, India

 

 

R. S. Chandel, Department of Mathematics, Government Geetanjali Girls P.G. College, Bhopal, Madhya Pradesh, India

 

 

Kamal Wadhwa, Department of Mathematics, Government P.G. College, Pipariya, Madhya Pradesh, India

 

 

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Published

01-03-2018

How to Cite

Akhilesh Jain, Rajesh Tokse, R. S. Chandel, & Kamal Wadhwa. (2018). Coupled Fixed Point Theorems in Ordered Non-Archimedean Intuitionistic Fuzzy Metric Space Using k-Monotone Property. International Journal of Mathematics And Its Applications, 6(1 - D), 747–755. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1136

Issue

Vol. 6 No. 1 - D (2018)

Section

Research Article

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